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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 王建凱 | zh_TW |
dc.contributor.advisor | Chien-Kai Wang | en |
dc.contributor.author | 何書鳴 | zh_TW |
dc.contributor.author | Shu-Ming He | en |
dc.date.accessioned | 2023-08-15T16:40:23Z | - |
dc.date.available | 2023-11-09 | - |
dc.date.copyright | 2023-08-15 | - |
dc.date.issued | 2023 | - |
dc.date.submitted | 2023-08-02 | - |
dc.identifier.citation | [1] 孫曉鈴. (2008). 碰撞游離過程的量子電動力學效應.
[2] 黃正雄. (2009). 車輛直接碰撞行為之分析. [3] 陳冠翔. (2011). 臺灣花蓮北部板塊交接點上部岩石圈週期碰撞與鬆弛模式. [4] Herrmann, F. (1981). "Simple explanation of a well-known collision experiment". American Journal of Physics. 49 (8): 761. [5] Mellen, W. R. (1968). "Superball Rebound Projectiles". American Journal of Physics. 36 (9): 845. [6] Evans, L., & Bryant, P. (2008). LHC machine. Journal of instrumentation, 3(08), S08001. [7] PE, H. G. C. (2016). Manufacturing engineering handbook. McGraw-Hill Education. [8] 蕭凱文. (2004). 磁性顆粒在磁場中之運動軌跡 [9] Hertz, H. R., Über die Berührung fester elastischer Körper und Über die Härte, Verhandlungen des Vereins zur Beförderung des Gewerbefleisscs, Berlin: Verein zur Beförderung des Gewerbefleisses, 1882, pp.449-463 [10] D. Maugis, Contact, Adhesion and Rupture of Elastic Solids, Springer-Verlag, Solid-State Sciences, Berlin 2000 [11] K. L. Johnson and K. Kendall and A. D. Roberts, Surface energy and the contact of elastic solids, Proc. R. Soc. London A 324 (1971) 301-313 [12] Derjaguin, BV and Muller, VM and Toporov, Y.P., 1975, Effect of contact deformations on the adhesion of particles, Journal of Colloid and Interface Science, 53(2), pp. 314-326 [13] Qin, Z.; LU, Q. Analysis of impact process model based on coefficient of restitution. J. Dyn. Control 2006, 4, 294–298. [14] Flores, P.; Machado, M.; Silva, M.T.; Martins, J.M. On the continuous contact force models for soft materials in multibody dynamics. Multibody Syst. Dyn. 2011, 25, 357–375. [15] Stronge, W. Impact Mechanics; Cambridge University Press: Cambridge, MA, USA, 2000. [16] Schäfer, J.; Dippel, S.; Wolf, D. Force schemes in simulations of granular materials. Phys. I 1996, 6, 5–20. [17] . Brilliantov, N.; Spahn, F.; Hertzsch, J.; Pöschel, T. Model for collision in granular gases. Phys. Rev. E 1996, 53, 5. [18] Walton, O.; Braun, R. Viscosity, granular-temperature, and stress calculations for shearing assemblies of inelastic frictional plates. J. Rheol. 1986, 30, 949–980. [19] Thornton, C. Restitution of coefficient collinear collisions of elastic-perfectly plastic spheres. Appl. Mech. 1997, 64, 383–386. [20] Johnson, K. Contact Mechanics; Cambridge University Press: Cambridge, MA, USA, 1985; pp. 153–196. [21] Wu, C.; Li, L.; Thornton, C. Energy dissipation during normal impact of elastic and elastic-plastic spheres. Int. J. Impact Eng. Fifth Int. Symp. Impact Eng. 2005, 32, 593–604. [22] Jackson, R.; Green, I.; Marghitu, D. Predicting the coefficient of restitution of impacting elastic-perfectly plastic spheres. Nonlinear Dyn. 2010, 60, 217–229. [23] Ma, D.; Liu, C. Contact Law and coefficient of restitution in Elastoplastic Spheres. J. Appl. Mech. 2015, 82, 121006 [24] Chag, W.; Etsion, I.; Bogy, D. An Elastic-Plastic Model for the Contact of Rough Surfaces. J. Tribol. 1987, 109, 257–263. [25] Chang, W.; Ling, F. Normal impact model of rough surfaces. ASME J. Tribol. 1992, 114, 439–447. [26] Wu, C. Y., Li, L. Y., & Thornton, C. (2005). Energy dissipation during normal impact of elastic and elastic–plastic spheres. International Journal of Impact Engineering, 32(1-4), 593-604. [27] ABAQUS (2022) Analysis User's Manual (v6.14). Dassault Systemes Simulia Inc. | - |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/88521 | - |
dc.description.abstract | 本論文研究彈塑球體衝擊之碰撞力學問題,由精密控制與能量循環等工程技術開發考量,研究旨在球體碰撞的過程中,系統於何控制條件中,能夠有最小的動能損失,將以理論探討與模擬計算進行研究與驗證。理想狀況下的碰撞是彈性碰撞,即無動能損失。然而在現實生活中,碰撞球前後難免會有動能損失,損失的部分會轉換成熱能、旋轉動能等。動能損失大多被認為與碰撞體的材料有關,因此分析方式將以有限元素軟體ABAQUS (ABAQUS, Inc.)模擬球體碰撞,研究在不同材料與幾何下碰撞的動能損失,搭以理論碰撞模型驗證模擬的準確性。從模擬結果觀察以及論文中的無因次化分析,得到只須給定材料條件,代入楊氏模數、降伏強度、密度可以計算出極限撞擊速度(critical impact velocity)。只要碰撞速度不超過極限撞擊速度,球體碰撞的動能損失將為零。
論文內容安排為:第二章為介紹本論文所使用到的理論碰撞模型,驗證ABAQUS模擬結果。第三章為模擬半徑相同之兩球的碰撞,其中包含了無因次化分析,為了方便分析模擬結果數據以及探討動能損失與材料參數之關係。第四章為結果討論,分析並提出一個合理的關係描述動能損失與材料參數之關係。第五章為在本研究中如何使用ABAQUS,包括數學模型建置、材料參數設定、接觸性質設定、網格劃分以及後處理。第六章為研究之結論以及未來展望。 | zh_TW |
dc.description.abstract | This thesis investigates the collision mechanics of elasto-plastic spherical collisions with a view to developing engineering technologies for precision control and energy recycling. The study aims at minimizing the kinetic energy loss of the system during the collision of spheres under controlled conditions. Ideally, the collision is elastic, i.e., no kinetic energy is lost. However, in real life, there is inevitable loss of kinetic energy, and the loss will be converted into thermal energy or rotational kinetic energy. The loss of kinetic energy is mostly considered to be related to the material of the colliding body. Therefore, the analysis will be performed by simulating the collision of a sphere with finite element software ABAQUS (ABAQUS, Inc.) to study the loss of kinetic energy under different materials and geometries condition. To verify the accuracy of the simulation, we adopted theoretical collision models. From the simulation results and the dimensionless analysis in the research, we can calculate the critical impact velocity by substituting Young's modulus, yielding strength, and density of the colliding body. As long as the collision velocity does not exceed the critical impact velocity, the kinetic energy loss of the sphere collision will be zero.
The paper is organized as follows: In Chapter 2, we introduce the theoretical collision model used in this research to verify the ABAQUS simulation results. In Chapter 3, we simulate the collision of two spheres with the same radius, which includes the dimensionless analysis to facilitate the analysis of the simulation results and to investigate the relationship between kinetic energy loss and material parameters. In Chapter 4, we discuss the results in Chapter 3, and analyzes and proposes a reasonable relationship to describe the relationship between kinetic energy loss and material parameters. In Chapter 5, showing how we use ABAQUS to study, including building mathematical model, setting material parameter, setting contact property, grid delineation, and post-processing. In Chapter 6, we presents the conclusion of the study and prospects. | en |
dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2023-08-15T16:40:23Z No. of bitstreams: 0 | en |
dc.description.provenance | Made available in DSpace on 2023-08-15T16:40:23Z (GMT). No. of bitstreams: 0 | en |
dc.description.tableofcontents | 摘要 I
Abstract II 目錄 III 圖目錄 IV 表目錄 VII 第一章 緒論 1 1.1 研究動機 1 1.2 研究背景 1 1.3 研究內容 2 1.4 研究方法 3 第二章 碰撞模型 4 2.1 Hertz模型 4 2.2 Johnson模型 6 2.3 Thornton模型 8 2.4 J - G模型 10 2.5 Wu模型 11 第三章 相同半徑之兩球碰撞 13 3.1 動能損失與恢復係數 13 3.2 無因次化分析 14 3.3 不同條件與動能損失之關係 17 3.3.1不同球半徑 17 3.3.2 不同降伏強度 19 第四章 臨界碰撞速度 22 4.1實際材料之臨界碰撞速度 39 4.1.1 6061 鋁合金 39 4.1.2 低碳鋼 40 4.1.3 鎢合金 41 第五章 ABAQUS操作說明 42 第六章 結論與未來展望 56 6.1結論 56 6.2未來展望 56 參考文獻 57 | - |
dc.language.iso | zh_TW | - |
dc.title | 彈塑性球體衝擊碰撞之解析力學與計算模擬研究 | zh_TW |
dc.title | Theoretical mechanics and computational study on collisions of elasto-plastic spheres | en |
dc.type | Thesis | - |
dc.date.schoolyear | 111-2 | - |
dc.description.degree | 碩士 | - |
dc.contributor.oralexamcommittee | 董奕鍾;陳壁彰;黃育熙 | zh_TW |
dc.contributor.oralexamcommittee | Yi-Chung Tung;Bi-Chang Chen;Yu-Hsi Huang | en |
dc.subject.keyword | 碰撞,降伏強度,接觸力學,恢復係數, | zh_TW |
dc.subject.keyword | collision,yielding strength,contact mechanics,coefficient of restitution, | en |
dc.relation.page | 58 | - |
dc.identifier.doi | 10.6342/NTU202302432 | - |
dc.rights.note | 同意授權(全球公開) | - |
dc.date.accepted | 2023-08-04 | - |
dc.contributor.author-college | 工學院 | - |
dc.contributor.author-dept | 機械工程學系 | - |
顯示於系所單位: | 機械工程學系 |
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